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Finding the Fourth Proportional to 1,685.48, 2,517.19 and 1,411.79

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Solution

The fourth proportional to 1,685.48, 2,517.19 and 1,411.79 is: 2,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.48 : 2,517.19 = 1,411.79 : x
  2. Step 2: Convert to fraction form
    1,685.48/2,517.19 = 1,411.79/x
  3. Step 3: Cross multiply
    1,685.48x = 2,517.19 × 1,411.79
  4. Step 4: Simplify right side
    1,685.48x = 3,553,727.55
  5. Step 5: Solve for x
    x = 3,553,727.55/1,685.48
  6. Step 6: Final answer
    x = 2,108.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.